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When is 1 the greatest common factor of 2 numbers?
1 is a factor of every whole number, and the gcf of two numbers can be 1 if there is no larger factor common to both numbers.
Why is the greatest common factor of two even numbers always even?
Even numbers, by definition, are divisible by 2. That means that every even number has at least one 2 as a factor. If every even number has one, then any set of even numbers will have at least one 2 as a common factor. Since that number has two as a factor, it's even.
What is a least common factor?
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Since every number has 1 as a factor, 1 is always the least common factor of any set of integers.
Why are there greatest common factors and not least common factors?
1 is the least common factor of all whole numbers, so there is nothing to choose for a least common factor. The Greatest Common Factor (GCF) of a set of two or more numbers is the largest factor that will divide into every number in the set without leaving any remainder. 1 is the least, or smallest, factor common to all whole numbers.
Which number is common factor of every number?
1
